Solve problems involving percentages in a range of contexts
Lesson details
Learning outcome
I can solve problems involving percentages in a range of contexts.
Key learning points
- If I know the value of the whole, I can calculate the value of a part.
- If I know the value of a part, I can calculate the value of the whole.
- Addition, subtraction, multiplication and division can be used to calculate a new percentage from known percentages.
Keywords
Percentage - A percentage is a proportion of a whole.
Common misconception
When finding a price has reduced by 25%, pupils may give the answer as 25% of the number, rather than seeing it as 75% of the whole.
Emphasise that '25% off' means that the price has been reduced by 25%. The whole, subtract 25%, is equal to 75% of the whole. Bar models are useful for showing this.
Teacher tip
In this lesson, pupils solve a range of problems using percentages, including problems with an unknown part or an unknown whole. Encourage pupils to use tables to help them organise their thinking and, where needed, represent problems using bar models.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Match each percentage amount to the value of 100% e.g. If 10% = 1.8 then 100% = ___
100% = 18
100% = 140
100% = 165
100% = 270
Q2.What is the new price of the sunglasses? £
Q3.What is the new price of the hat? £
Q4.Which item is the most expensive?
Q5.What was the original price of this T-shirt? £
Q6.What was the original price of this T-shirt? £
Assessment exit quiz
6 Questions
Q1.If 100% = 1,100 match these percentages to the answers.
110
55
165
440
990
Q2.Work out the new price of the toy robot. £
Q3.Work out the new price of the toy panda. £
Q4.Lucas thinks of a number and says that 4% of his number is 160 What is his number?
Q5.Sofia has read 70% of her book which is 210 pages. How long is her book in total? pages
Q6.Laura has cycled for 72 km which is 75% of her race. The total length of the race is km
To help you plan your 6 maths lesson on: Solve problems involving percentages in a range of contexts, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 6 maths lesson on: Solve problems involving percentages in a range of contexts, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 2 maths lessons from the Understanding percentages unit, dive into the full primary maths curriculum, or learn more about lesson planning.